Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2856f |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3592071168 = 211 · 3 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992,12012] |
[a1,a2,a3,a4,a6] |
Generators |
[218:535:8] |
Generators of the group modulo torsion |
j |
52767497666/1753941 |
j-invariant |
L |
3.2109929270268 |
L(r)(E,1)/r! |
Ω |
1.3954314667294 |
Real period |
R |
4.6021506660628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5712j3 22848bi3 8568g3 71400bm3 |
Quadratic twists by: -4 8 -3 5 |